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Finding the Third Proportional to 251,923,602,478 and 555,197,259,778

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Solution

The third proportional to 251,923,602,478 and 555,197,259,778 is: 1,223,561,406,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,602,478 : 555,197,259,778 = 555,197,259,778 : x
  2. Step 2: Convert to fraction form
    251,923,602,478/555,197,259,778 = 555,197,259,778/x
  3. Step 3: Cross multiply
    251,923,602,478x = 555,197,259,778 × 555,197,259,778
  4. Step 4: Simplify right side
    251,923,602,478x = 308,243,997,264,999,994,097,664
  5. Step 5: Solve for x
    x = 308,243,997,264,999,994,097,664/251,923,602,478
  6. Step 6: Final answer
    x = 1,223,561,406,049.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.